Genericity of simple eigenvalues for elliptic pdes

Proceedings of the American Mathematical Society

Volumn 48, Issue 2, 1975, Pages 413-418

  Albert, J H ^a  

^a TUFTS UNIVERSITY   (United States)

Author keywords

Eigenvalue; Elliptic operator; Generic; Perturbation

Indexed keywords

EID: 84968483685     PISSN: 00029939     EISSN: 10886826     Source Type: Journal    
DOI: 10.1090/S0002-9939-1975-0385934-4     Document Type: Article

References (6)

1. J. H. Albert, Nodal and critical sets for eigenfunctions of elliptic operators, Proc. Sympos. Pure Math., vol. 23, Amer. Math. Soc., Providence, R. I., 1973, PP« 71-78
2. J. H. Albert, Topology of the nodal and critical point sets for eigenfunctionsof elliptic operators, Thesis, M. I. T., Cambridge, Mass., 1971
3. L. Bers, F. John and M. Schechter, Partial differential equations, Lectures in Appl. Math., vol. 3, Interscience, New York, 1964. MR 29 #346
4. R. Courant and D. Hilbert, Methods of mathematical physics. Vols. I, II, Interscience, New York, 1933, 1962. MR 16, 426; 25 #4216
5. R. Courant and D. Hilbert F. Rellich, Perturbation theory of eigenvalue problems, Gordon and Breach, New York, 1969- MR 39 #2014
6. K. Uhlenbeck, Generic properties of eigenfunctions (manuscript)